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14052130525200 = 24352101753715383
BaseRepresentation
bin1100110001111100010000…
…1111111001000000010000
31211202101000010201000112010
43030133010033321000100
53320212230403301300
645515243141102520
72650142615454045
oct314370417710020
954671003630463
1014052130525200
114528525385869
1216ab4920b7a40
137ac15820b871
143681abb131cc
151957dc839a50
hexcc7c43f9010

14052130525200 has 240 divisors, whose sum is σ = 45468324948096. Its totient is φ = 3709400064000.

The previous prime is 14052130525193. The next prime is 14052130525217. The reversal of 14052130525200 is 252503125041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913476709 + ... + 913492091.

Almost surely, 214052130525200 is an apocalyptic number.

14052130525200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14052130525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22734162474048).

14052130525200 is an abundant number, since it is smaller than the sum of its proper divisors (31416194422896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14052130525200 is a wasteful number, since it uses less digits than its factorization.

14052130525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23042 (or 23031 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 14052130525200 in words is "fourteen trillion, fifty-two billion, one hundred thirty million, five hundred twenty-five thousand, two hundred".